耦合光机械纳米谐振器中的双色同步混沌
Bichromatic synchronized chaos in coupled optomechanical nanoresonators
摘要：
同步和混沌是自然界中两种普遍存在的现象。有趣的是，在特定的条件下，耦合混沌系统可以显示同步的一些可观的。在这里，我们实验研究双色同步的路线上的两个不同的机械耦合光机械纳米腔的混沌。机电近共振激励的谐振器之一的证据滞后行为的耦合机械模式，可以在振幅调制下，达到混沌政权。的意见，允许直接测量系统的全相空间，准确地建模耦合周期性强迫Duffing谐振器由于一个完整的校准的实验参数。这表明，除了从力学频域到光学频域的混沌传递之外，两个不相同的子系统之间还发生了空间混沌传递。在耦合膜模式的同时激发下，我们还证明了在两个不同的载波频率的正常模式的正交之间的双色混沌同步。由于非线性引起的模态正交性破坏，它们各自的正交振幅一致地同步。同时，它们的相位在混沌区表现出复杂的动力学行为，并具有不完全同步性。我们的通用模型同意再次定量与所观察到的同步动力学。这些结果为尚未探索的集体动力学的实验研究奠定了基础，例如在强耦合的纳米级非线性振荡器阵列中的同步，其应用范围从精确测量到多光谱混沌加密和随机位生成，以及模拟计算，仅举几例。
英文摘要：
Synchronization and chaos are two well known and ubiquitous phenomena in nature. Interestingly, under specific conditions, coupled chaotic systems can display synchronization in some of their observables. Here, we experimentally investigate bichromatic synchronization on the route to chaos of two non-identical mechanically coupled optomechanical nanocavities. Electromechanical near-resonant excitation of one of the resonators evidences hysteretic behaviors of the coupled mechanical modes which can, under amplitude modulation, reach the chaotic regime. The observations, allowing to measure directly the full phase space of the system, are accurately modeled by coupled periodically forced Duffing resonators thanks to a complete calibration of the experimental parameters. This shows that, besides chaos transfer from the mechanical to the optical frequency domain, spatial chaos transfer between the two nonidentical subsystems occurs. Upon simultaneous excitations of the coupled membranes modes, we also demonstrate bichromatic chaos synchronization between quadratures at the two distinct carrier frequencies of the normal modes. Their respective quadrature amplitudes are consistently synchronized thanks to the modal orthogonality breaking induced by the nonlinearity. Meanwhile, their phases show complex dynamics with imperfect synchronization in the chaotic regime. Our generic model agrees again quantitatively with the observed synchronization dynamics. These results set the ground for the experimental study of yet unexplored collective dynamics of e.g synchronization in arrays of strongly coupled, nanoscale nonlinear oscillators for applications ranging from precise measurements to multispectral chaotic encryption and random bit generation, and to analog computing, to mention a few.
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